1. Developing fluency with the addition and subtraction of fractions in addition to developing and understanding the multiplication and division of fractions.
2. Extending division to the use of two digit divisors, integrating decimal fractions into the place value system and developing an understanding of operations with decimals.
3. Developing an understanding of volume.
Common Core Domains
1. Operations and Algebraic Thinking
Write and interpret numerical expressions.
Analyze patterns and relationships.
2. Number and Operations in Base Ten
Understand the place value system.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
3. Number and Operations-Fractions
Use equivalent fractions as a strategy to add and subtract fractions.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
4. Measurement and Data
Convert like measurement units within a given measurement system.
Represent and interpret data.
Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
5. Geometry
Graph points on the coordinate plane to solve real-world and mathematical problems.
Classify two-dimensional figures into categories based on their properties.
Mathematical Practices
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Examples
Domain: Operations and Algebraic Thinking
Cluster: Write and Interpret Numberical Expressions
Express the calculation "Add 4 and 3, then multiply by 5"
Cluster: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions
3/5 X 4/5 = ___ Solution: 12/25
6/12 x 2/5 = __ Solution: 1/5
Domain: Geometry
Cluster: Graph Points on the Coordinate Plane to Solve Real-World and Mathematical Problems and Classify Two-Dimensional Figures into Categories Based on their Properties
Common Core Grade 5
Fifth Grade Instruction Focuses On:
1. Developing fluency with the addition and subtraction of fractions in addition to developing and understanding the multiplication and division of fractions.2. Extending division to the use of two digit divisors, integrating decimal fractions into the place value system and developing an understanding of operations with decimals.
3. Developing an understanding of volume.
Common Core Domains
1. Operations and Algebraic Thinking2. Number and Operations in Base Ten
3. Number and Operations-Fractions
4. Measurement and Data
5. Geometry
Mathematical Practices
Examples
Domain: Operations and Algebraic Thinking
Cluster: Write and Interpret Numberical Expressions
Express the calculation "Add 4 and 3, then multiply by 5"
Solution: 5* (4 + 3)
Domain: Number and Operations in Base Ten
Cluster: Understand the Place Value System
Online Math Game Link: http://www.pbs.org/cyberchase/math-games/number-sense
Domain: Number and Operations-Fractions
Cluster: Apply and Extend Previous Understandings of Multiplication and Division to Multiply and Divide Fractions
3/5 X 4/5 = ___ Solution: 12/25
6/12 x 2/5 = __ Solution: 1/5
Domain: Geometry
Cluster: Graph Points on the Coordinate Plane to Solve Real-World and Mathematical Problems and Classify Two-Dimensional Figures into Categories Based on their Properties
Link to activity incorporating both clusters:
http://www.k-5mathteachingresources.com/support-files/coordinateshapes.pdf
Website connecting standards to activities for grades 3-5:
http://www.k-5mathteachingresources.com/geometry-activities-2.html